Stock evaluation is a significant decision-making activity for investors. Due to the complexity of stock exchange market, evaluation information may be fuzzy and stochastic in the meantime. Therefore, it is essential to conduct the research on fuzzy stochastic multi-criteria decision-making (FSMCDM) methods. In this paper, at the beginning, we propose interval neutrosophic probability from the definition of neutrosophic probability. Then, a novel MCDM method is proposed with interval neutrosophic probability based on regret theory, in which criteria values are interval neutrosophic numbers (INNs). The method proposed with interval neutrosophic probability may be much better than methods using classic probability or fuzzy probability. Next, we apply the proposed method to stock selection problems and discuss the influence of parameters on ranking results. Finally, we compare regret theory with prospect theory, which is also an important theory of bounded rationality just like regret theory, to emphasize the characteristics the regret theory. Moreover, a comparative analysis is also conducted between the proposed method and existing methods under interval neutrosophic environment to demonstrate efficiency and applicability of the proposed method.
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